how do you add fractions?

Question

for example 1/2+3/5

Answer 1

first u gotta get the same denominator

1/2 +3/5

they both can go in 10, so 10 is the denominator so now it would be 1/10 + 3/10

for the first fraction i got 10 to be the denominator by 2 x 5 and what u do to the bottom u, u have to do the same to the top, therefore the first fraction is 5/10.

to get the second denominator to be 10, i did 5x 2 to get 10, so 3 x 2 is 6. so now u can just add

5/10 + 6/10 = 11/10

Answer 2

Find a common denominator. Then change each numerator with the same number that u used on each denominator(do to the top what u did to the bottom). Then add the numerators together and carry over your common denominator.
(you only be add the top numbers, the bottom number stays the same common number you found).
1/2 + 3/5 The lowest common multiple of 2 & 5 (both of the denominators) is 10.
To make the 2 a 10 you multiply it by 5 so now you have to multiply the one by 5 also.
Now you have 5/10 + 3/5.
(now to the second #)
In order to make the 5 into a 10 you multiply it by 2 so you have to multiply the 3 by 2 also. Now you have 5/10 + 6/10 = 11/10.

Answer 3

1. Find the LCD(least common denominator)
Denominators: 2 and 5
Multiples of:
2: 2, 4, 6, 8, 10, 12,...
5: 5, 10, 15,...
LCD: 10
2. Change both fractions to that denominator(so multiply all terms, both numerator and denominator by the number that would get each denominator to the LCD) and add the numerators afterwards without adding the new denominators), as follows:
1/2+3/5 = [(1x5)/(2x5)]+[(3x2)/(5x2)] = 5/10+6/10 = 11/10
3. If the result is in the form of an improper fraction(where the numerator's larger than the denominator), then change it into a mixed number.
11/10 = 1 & 1/10(one and one tenth, or 1.1)
Good luck.

Answer 4

To add or subtract fractions, their denominators MUST
be the same. Always. No exceptions.
For your problem, 1/2+3/5, the denominator that is common to both fractions is 10.
1/2 X 5/5=5/10, and 3/5 X 2/2=6/10
Now the denominators are the same
5/10+6/10= 11/10
Once the denominators are the same, lust add the
numerators, and put your result over the common
denominator.

Answer 5

First, make sure you have a common denominator (the number on the bottom).
To do this, multiply the fractions (both top and bottom) by a number that will make the bottom number the same.

1/2 + 3/5 (multiply 1/2 by 5 to make the bottom number 10 and 3/5 by 2 to make the bottom number 10)

5/10 + 6/10

Now add the top numbers.

=11/10

This is the same as 1 1/10.

Answer 6

Find a common denominator. For example 1/2+3/5. The common denominator is 10. So it would be 5/10+6/10=11/10 or 1 1/10

Answer 7

You have already seen how easy adding fractions with the same or like denominators can be. You simply add the numerators and keep the same denominator, then simplify if needed. Now we are going to talk about adding fractions with different denominators.

When you finish this lesson, you will wonder why you ever worried about adding these fractions in the first place. Promise!

First of all, when adding fractions with different denominators, the first step says that we must change these fractions so that they have the "same denominator".

Here are the steps for adding fractions with different denominators. We will break-down each step just like before to make sure you've got it. Then we will add some tougher numbers. And finally, we will help you pull everything together. Okay!

So, here are the steps.

Build each fraction so that both denominators are equal.

Remember, when adding fractions, the denominators must be equal. So we must complete this step first. What this really means is that you must find what is called a Common Denominator. For our advanced lesson you will be required to work the problem using what's called the Least Common Denominator (LCD). In either case you will build each fraction into an equivalent fraction.

Re-write each equivalent fraction using this new denominator

Now you can add the numerators, and keep the denominator of the equivalent fractions.

Re-write your answer as a simplified or reduced fraction, if needed.

We know this sounds like a lot of work, and it is, but once you understand thoroughly how to find the Common Denominator or the LCD, and build equivalent fractions, everything else will start to fall into place. So, let's take our time to do it Right!

But keep in mind, if you are doing homework, be sure to answer the problems in the form asked for in the assignment.

Answer 8

You need to find a common denominator for both fractions.

1/2 + 3/5 = 5/10 and 6/10 = 11/10 OR 1 1/10 (mixed number).

The denominator changes to 10 since it is the first number both 5 and 2 go into.

Answer 9

If I'm not mistaken, I believe you have to find the lowest common denominator (bottom number) by seeing what both 2 and 5 will go into, such as 10. So you'd see how many times the bottom # goes into 10. In your case, the bottom #'s are 2 and 5.
So 2 goes into 10 = 5 times
And 5 goes into 10 = 2 times

Now, let's look at your top numbers, which in this case are 1 and 3.
So 5 goes into 10, 2 times. 2 times 3 (your top # ) is 6.
So now you have 6/10
Also, 2 goes into 10, 5 times. 5 times 1 (your top # ) is 5.
So now you have 5/10
NOW you can add them. So here's your new equation.
5/10 + 6/10 = 11/10 which equates to 1 1/10
Your answer is 1 1/10.
Sorry to be so confusing!

Answer 10

Find the least common denominator

so, 1/2 = 5/10, and 3/5 = 6/10

5/10 + 6/10 = 11/10 (only add numerator, not denominator)

also, can be expressed as 1 and 1/10, or 1.1